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 Wave and heatequation on surfaces
 Partial differential equations involving time
 Tutorial 11 – Electric fields on surfaces
 Laplace operator 2
 Triangulated surfaces with metric and the Plateau problem
 Dirichlet energy 2
 Gradient and Dirichlet energy on triangulated domains.
 Triangulated surfaces and domains
 Laplace operator 1
 Tutorial 10 – Discrete minimal surfaces
 Tutorial 9 – The Dirichlet problem
 Tutorial 8 – Flows on functions
 Tutorial 7 – Visualization of gradient fields
 Random Fourier polynomials
 Tutorial 6: Closetoconformal parametrizations of Hopf tori
 Tutorial 5: Lawson’s minimal surfaces and the Sudanese Möbius band
 The 3Sphere
 Tutorial 4: Hyperbolic helicoids
 Tutorial 3: Framed Closed Curves
 Conformal maps III: Stereographic Projection
 Conformal Maps II: Inversions
 Quaternions
 Tutorial 2: Framed Discrete Curves
 Mandelbrot Set
 Conformal Maps I: Holomorphic Functions
 Conformal Parametrizations of Surfaces
 Parallel Frame for Curves
 ArclengthParametrized Curves
 Sampled Parametrized Curves
 Tutorial 1: Implicit Surfaces with Houdini
 Creating Geometry From Scratch
 Combinatorial Geometry in Houdini
 Combinatorial Geometry: Simplicial Complexes
 Combinatorial Geometry: Cell Complexes
 Scenes with White Background
 Simple Ambient Scenes
 Visualizing Discrete Geometry with Houdini II
 Rendering and Working with Cameras
 Visualizing Discrete Geometry with Houdini I
 Using Houdini on MacBooks
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Category Archives: Lecture
Combinatorial Geometry: Cell Complexes
Roughly speaking, Combinatorial complexes play a similar role in the discrete world as differentiable manifolds in the smooth world. They are able to capture the “intrinsic” properties of a geometric object, i.e. those properties that are independent of any embedding … Continue reading
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Scenes with White Background
In a scientific context a very common task is to prepare figures for manuscripts. In most cases the objects in the foreground are the sole focus of attention, and in such cases it is desirable that the figure should blend naturally with … Continue reading
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Simple Ambient Scenes
Visual perception is always slightly irritated when it is confronted with understanding objects that are just floating in empty space, with no clues concerning the surrounding environment. For this reason the slight gradient in Houdinis Scene View is already helpful: The … Continue reading
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Visualizing Discrete Geometry with Houdini II
Let us now work on the visualization of edges and points. In case you worry that your screen looks slightly different from the pictures we show: For the pictures we already applied the White Porcelain material as explained in the … Continue reading
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Rendering and Working with Cameras
Before rendering it is always convenient to create a dedicated camera for this purpose. You do this by choosing New Camera from the yellow menu in the upper right corner of the Scene View. After this, you will see a … Continue reading
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Visualizing Discrete Geometry with Houdini I
This post is also meant as a first introduction to using Houdini. In most applications discrete curves and surfaces are used as approximate descriptions of smooth objects. This situation is close in spirit to Numerical Analysis where the discrete objects would … Continue reading
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Using Houdini on MacBooks
On Notebooks that are not totally ancient and run Windows or Linux, Houdini works fine. On those Macs that feature a nonIntel graphics chip, Houdini runs excellently. The only problem are Macs with Intel graphics. Here (probably due to the lack … Continue reading
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